9.18 is what percent of 23.72 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 23.72 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 23.72, so we can write it down as 100%=23.72.
4. We know, that x% equals 9.18 of the output value, so we can write it down as x%=9.18.
5. Now we have two simple equations:
1) 100%=23.72
2) x%=9.18
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=23.72/9.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9.18 is what percent of 23.72

100%/x%=23.72/9.18
(100/x)*x=(23.72/9.18)*x       - we multiply both sides of the equation by x
100=2.5838779956427*x       - we divide both sides of the equation by (2.5838779956427) to get x
100/2.5838779956427=x
38.701517706577=x
x=38.701517706577

now we have:
9.18 is 38.701517706577% of 23.72